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Finding the Fourth Proportional to 460.28, 690.49 and 152.07

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Solution

The fourth proportional to 460.28, 690.49 and 152.07 is: 228.13

Step by Step Solution

  1. Step 1: Write the proportion equation
    460.28 : 690.49 = 152.07 : x
  2. Step 2: Convert to fraction form
    460.28/690.49 = 152.07/x
  3. Step 3: Cross multiply
    460.28x = 690.49 × 152.07
  4. Step 4: Simplify right side
    460.28x = 105,002.81
  5. Step 5: Solve for x
    x = 105,002.81/460.28
  6. Step 6: Final answer
    x = 228.13

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.